The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading

Sofiyev, A.H.; Schnack, E.

doi:10.1016/j.engstruct.2004.03.016

Cited by 133 publications

(52 citation statements)

References 18 publications

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“…, the nonlinear motion equations of circular cylindrical shell considering an elastic foundation are written in the form [14,30,32,33,36] , , 0, …”

Section: Nonlinear Equations Of Motionmentioning

confidence: 99%

“…Huang and Han [13] investigated by analytical method the nonlinear buckling behaviors of un-stiffened FGM cylindrical shells (UN-S-FGM) under static torsional load according to the nonlinear large deflection shell theory and Ritz method. By analytical method, the dynamic stability analysis of UN-S-FGM cylindrical shells under linearly increasing time-dependent torsional loading with the linear geometrical relation were studied by Sofiyev and Schnack [14].…”

Section: Introductionmentioning

confidence: 99%

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Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Dung

Hoa

2015

Applied Mathematical Modelling

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Please cite this article as: D.V. Dung, L.K. Hoa, A semi-analytical approach to analyze the nonlinear dynamic torsional buckling of stiffened FGM circular cylindrical shells surrounded by elastic medium, Appl. Math. Modelling (2015), doi: http://dx. Abstract:This research presents a semi-analytical method to analyze the nonlinear dynamic behavior of FGM thin circular cylindrical shells surrounded by elastic foundations and under a time-dependent torsional load. Shell is stiffened by closely spaced orthogonal FGM stiffeners system which is attached to inner surface of shell. An elastic medium is assumed as twoparameter elastic foundation model proposed by Pasternak. Fundamental relations and governing equations for stiffened cylindrical shells are derived by using the Donnell shell theory with von Karman geometrical nonlinearity and the smeared stiffeners technique. Deflection function with three-term taking into account a nonlinear buckling shape, is chosen more correctly. Galerkin method is used. The critical dynamic torsional load is found by using fourth order Runge-Kutta method and Budiansky-Roth criterion. Carrying out some computations, effects of stiffener, foundations, material and dimensional parameters on the dynamic buckling behavior of shell have been studied.

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“…, the nonlinear motion equations of circular cylindrical shell considering an elastic foundation are written in the form [14,30,32,33,36] , , 0, …”

Section: Nonlinear Equations Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Dung

Hoa

2015

Applied Mathematical Modelling

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“…The torsional post-buckling analysis of FGM cylindrical shells in thermal environment based on a higher-order shear deformation theory with a von Kármán-Donell type of kinematic nonlinearity was given by Shen [5]. Sofiyev and Schnack [6] presented the stability of a functionally graded cylindrical shell subjected to torsional loading varying as a linear function of time. The modified Donnell-type dynamic stability and compatibility equations were applied.…”

Section: Introductionmentioning

confidence: 99%

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

2015

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The nonlinear buckling and post-buckling problems of functionally graded stiffened toroidal shell segments surrounded by an elastic medium under torsion based on an analytical approach are investigated. The rings and stringers are attached to the shell, and material properties of the shell are assumed to be continuously graded in the thickness direction. The classical shell theory with the geometrical nonlinearity in von Kármán sense and the smeared stiffeners technique are applied to establish theoretical formulations. The three-term approximate solution of deflection is chosen more correctly, and the explicit expression to find critical load and post-buckling torsional load-deflection curves is given. The effects of geometrical parameters and the effectiveness of stiffeners on the stability of the shell are investigated.

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“…Bu çalışmaların ardından homojen ortotrop malzemeden oluşan kabukların zamana bağlı periyodik olmayan yükler etkisi altında dinamik stabilite probleminin değişik yöntem ve yaklaşımlarla çözümü ile ilgili dikkat çeken birçok çalışma ortaya konulmuştur [23][24][25][26]. Homojen olmayan ortotrop kabukların zamana bağlı periyodik olmayarak değişen basınç yükleri etkisi altındaki dinamik burkulma problemlerinin çözümü, sayısal analizler esnasında çıkan zorluklardan dolayı az sayıdadır [27][28][29][30][31][32]. Üç tabakalı kabukların statik ve dinamik stabilite problemleri ile ilgili çalışmaların tamamı fonksiyonel değişimli izotrop kabuklarla ilgilidir [33][34][35].…”

Section: Introductionunclassified

Üç Tabakali Homojen Olmayan Ortotrop Si̇li̇ndi̇ri̇k Kabuklarin Doğrusal Di̇nami̇k Stabi̇li̇tesi̇

Zerin

Karaca

2016

Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi

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ÖZBu çalışmada elastisite modülleri kalınlık koordinatına bağlı olarak parçalı sürekli değişen ortotrop elastik malzemeden oluşturulan üç tabakalı silindirik kabukların, zamana göre kuvvet fonksiyonu şeklinde değişen yanal dış basınç yükü etkisi altında doğrusal dinamik stabilitesi araştırılmıştır. Önce temel bağıntı, doğrusal dinamik stabilite ve deformasyon uygunluk denklemleri çıkarılmıştır. Bu denklemlere Ritz tipi yöntem uygulanarak, kritik yükler ve dinamiklik katsayısı için genel formüller elde edilmiştir. Homojen ortotrop ve izotrop tek tabakalı silindirik kabuklar için uygun ifadeler, bu formüllerden özel olarak elde edilmiştir. Daha sonra sayısal hesaplar yapılarak elastisite modülleri değişiminin, yükleme hızının, tabaka sayısı ve dizilişinin kritik parametrelere etkileri incelenmiştir.Anahtar Kelimeler: Üç tabakalı silindirik kabuk, ortotrop elastik malzeme, homojen olmama, doğrusal dinamik stabilite, yanal dış basınç yükü, kritik yük ve dinamiklik katsayısı THE LINEAR DYNAMIC STABILITY OF THREE LAYERED NON-HOMOGENEOUS ORTHOTROPIC CYLINDRICAL SHELLS ABSTRACTIn this study, the linear dynamic stability of three layered orthotropic cylindrical shells in which elasticity moduli is varying piecewise continuously in the thickness direction, under external pressure which vary as a power function of time, was investigated. Firstly, fundamental relations, linear dynamic stability and deformation compatibility equations were derived. By applying modified Ritz type method general formulas were obtained for critical loads and dynamic factor. Proper expressions for homogeneous orthotropic and isotropic single-layer cylindrical shells were obtained as special cases. Then, effects of variation of elasticity moduli, loading speeds, number and ordering of layers on the critical parameters were examined.Keywords: Three layered cylindrical shell, orthotropic elastic material, non-homogeneity, linear dynamic stability, external pressure load, critical load and dynamic factor GİRİŞGünümüzde elektronik, uzay araçları, modern füze ve havacılık endüstrisinde, denizaltı yapıları ve nükleer reaktörlerinde, inşaat ve makinelerde, homojen ve homojen olmayan özelliklere sahip malzemelerden oluşan çok tabakalı silindirik kabuk elemanları kullanılmaktadır. Çok tabakalı kabuk elemanlarının yaygınlaşmasındaki en önemli etkenlerden biri de sürekli olarak yeni kompozit malzemelerin oluşumu ve kullanımıdır. Çok tabakalı

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The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading

Cited by 133 publications

References 18 publications

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Semi-analytical approach for analyzing the nonlinear dynamic torsional buckling of stiffened functionally graded material circular cylindrical shells surrounded by an elastic medium

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

Üç Tabakali Homojen Olmayan Ortotrop Si̇li̇ndi̇ri̇k Kabuklarin Doğrusal Di̇nami̇k Stabi̇li̇tesi̇

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